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Finding the Fourth Proportional to 10,675.41, 16,013.08 and 2,884.23

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Solution

The fourth proportional to 10,675.41, 16,013.08 and 2,884.23 is: 4,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.41 : 16,013.08 = 2,884.23 : x
  2. Step 2: Convert to fraction form
    10,675.41/16,013.08 = 2,884.23/x
  3. Step 3: Cross multiply
    10,675.41x = 16,013.08 × 2,884.23
  4. Step 4: Simplify right side
    10,675.41x = 46,185,405.73
  5. Step 5: Solve for x
    x = 46,185,405.73/10,675.41
  6. Step 6: Final answer
    x = 4,326.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.